The Classification of Certain Fusion Categories

This project studies an important type of fusion categories, a class of mathematical structures of algebraic nature arising in different areas of mathematics, theoretical physics, and computer science, such as string theory, low-dimensional topology, and quantum computation. This project provides a classification of certain classes of fusion categories, which nobody knew how to classify before. These new classes of fusion categories have interesting and novel properties.

Name: Eric Kerner Larson
Stats: 17 year-old Senior from South Eugene High School in Eugene, OR
Influential Person: My mentors Arkady Vaintrob, Pavel Etingof, and Victor Ostrik.
Career Goal: I would like to pursue an undergraduate and then graduate degree in mathematics, and do lots of mathematical research.
Field Interest: My mentor, Arkady Vaintrob, introduced me to abstract mathematics, especially abstract algebra. Then, I met my other mentor, Pavel Etingof, who taught me about fusion categories, which I found fascinating.

Tags: education, innovation, inspire, Intel, Intel International Science and Engineering Fair, Intel ISEF

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